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What is the Least Common Multiple of 12958 and 12965?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 12958 and 12965 is 168000470.

LCM(12958,12965) = 168000470

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Least Common Multiple of 12958 and 12965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12958 and 12965, than apply into the LCM equation.

GCF(12958,12965) = 1
LCM(12958,12965) = ( 12958 × 12965) / 1
LCM(12958,12965) = 168000470 / 1
LCM(12958,12965) = 168000470

Least Common Multiple (LCM) of 12958 and 12965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12958 and 12965. First we will calculate the prime factors of 12958 and 12965.

Prime Factorization of 12958

Prime factors of 12958 are 2, 11, 19, 31. Prime factorization of 12958 in exponential form is:

12958 = 21 × 111 × 191 × 311

Prime Factorization of 12965

Prime factors of 12965 are 5, 2593. Prime factorization of 12965 in exponential form is:

12965 = 51 × 25931

Now multiplying the highest exponent prime factors to calculate the LCM of 12958 and 12965.

LCM(12958,12965) = 21 × 111 × 191 × 311 × 51 × 25931
LCM(12958,12965) = 168000470